Bardeen potential
E231746
The Bardeen potential is a gauge-invariant gravitational potential used in cosmological perturbation theory to describe scalar metric fluctuations in the early universe.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Bardeen potential canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T2068313 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Bardeen potential Context triple: [James M. Bardeen, notableWork, Bardeen potential]
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A.
Bardeen black hole model
The Bardeen black hole model is a theoretical proposal of a regular (non-singular) black hole solution in general relativity that avoids the central singularity by coupling gravity to nonlinear electrodynamics.
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B.
Bardeen
Bardeen is a surname most notably associated with John Bardeen, the American physicist who won the Nobel Prize in Physics twice for his work on the transistor and superconductivity.
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C.
Hayward black hole model
The Hayward black hole model is a theoretical, regular (non-singular) black hole solution in general relativity that modifies the central singularity with a de Sitter core, often studied as an alternative to classical black hole models.
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D.
Kerr–Newman black hole
The Kerr–Newman black hole is a theoretical solution of Einstein’s field equations describing a rotating, electrically charged black hole characterized solely by its mass, angular momentum, and charge.
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E.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Bardeen potential Target entity description: The Bardeen potential is a gauge-invariant gravitational potential used in cosmological perturbation theory to describe scalar metric fluctuations in the early universe.
-
A.
Bardeen black hole model
The Bardeen black hole model is a theoretical proposal of a regular (non-singular) black hole solution in general relativity that avoids the central singularity by coupling gravity to nonlinear electrodynamics.
-
B.
Bardeen
Bardeen is a surname most notably associated with John Bardeen, the American physicist who won the Nobel Prize in Physics twice for his work on the transistor and superconductivity.
-
C.
Hayward black hole model
The Hayward black hole model is a theoretical, regular (non-singular) black hole solution in general relativity that modifies the central singularity with a de Sitter core, often studied as an alternative to classical black hole models.
-
D.
Kerr–Newman black hole
The Kerr–Newman black hole is a theoretical solution of Einstein’s field equations describing a rotating, electrically charged black hole characterized solely by its mass, angular momentum, and charge.
-
E.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
cosmological perturbation variable
ⓘ
gauge-invariant quantity ⓘ gravitational potential ⓘ scalar metric perturbation ⓘ |
| alsoCalled | gauge-invariant potential ⓘ |
| appliesTo |
FLRW cosmological models
ⓘ
surface form:
Friedmann–Lemaître–Robertson–Walker metric
early universe ⓘ |
| assumes | linear perturbation regime ⓘ |
| definedFor | scalar sector of metric perturbations ⓘ |
| definedIn | longitudinal gauge ⓘ |
| definedRelativeTo | background FLRW solution ⓘ |
| dependsOn |
metric perturbations
ⓘ
scalar part of metric fluctuations ⓘ |
| describes | scalar metric fluctuations ⓘ |
| domain | theoretical cosmology ⓘ |
| framework | general relativity ⓘ |
| hasSymbol |
Φ
ⓘ
Ψ ⓘ |
| hasType | scalar perturbation variable ⓘ |
| helpsEnsure | gauge-invariant physical predictions in cosmology ⓘ |
| introducedBy | James M. Bardeen ⓘ |
| introducedIn | 1980 ⓘ |
| introducedInWork | Gauge-invariant cosmological perturbations ⓘ |
| isGaugeInvariantUnder | linearized coordinate transformations ⓘ |
| isPartOf | gauge-invariant formalism of cosmological perturbations ⓘ |
| mathematicalNature | space-time scalar field ⓘ |
| relatedTo |
Newtonian gravitational potential
ⓘ
comoving curvature perturbation ⓘ curvature perturbation ⓘ metric potentials Φ and Ψ in conformal Newtonian gauge ⓘ |
| satisfies | linearized Einstein equations ⓘ |
| transformsAs | scalar under spatial rotations ⓘ |
| usedIn |
Boltzmann codes for cosmology
ⓘ
cosmological perturbation theory ⓘ inflationary cosmology ⓘ linear theory of cosmological perturbations ⓘ relativistic cosmology ⓘ |
| usedToAnalyze |
Sachs–Wolfe effect
ⓘ
gravitational lensing of CMB ⓘ integrated Sachs–Wolfe effect ⓘ |
| usedToCompute |
cosmic microwave background anisotropies
ⓘ
large-scale structure formation ⓘ |
| usedToDescribe |
gravitational potential wells in the early universe
ⓘ
growth of density perturbations ⓘ |
| usedToTest |
models of dark energy
ⓘ
modified gravity theories ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Subject: Bardeen potential Description of subject: The Bardeen potential is a gauge-invariant gravitational potential used in cosmological perturbation theory to describe scalar metric fluctuations in the early universe.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.